Apparently Wittgenstein had not received any serious training in advanced mathematics and he never displayed any such knowledge nor some understanding about it. He demonstrates a sustained hostility against set theory without ever showing any grasp for its importance in analysis (for integrals, functions, convergence etc.). Nevertheless he claimed having done 'work' on 'foundation of mathematics'. When this work was made public, some 50 years ago, it was dismissed by people like Kreisel or Dummettt. Later, however, it was claimed that he has been misunderstood. One may suspect that philosophers just cannnot accept that their favorite thinker is incompetent and just wasted his (and their) time. There has been numerous attempts to explain what his 'philosophy of mathematics' is: constructivism, some kind of finitism, pragmatism etc. But the lack of consensus, obvious when one leafs through the literature, suggest that perhaps there never really was such a thing to be called "Wittgenstein's philosophy of mathematics". Is this the answer?

closed as off-topic by Joseph Weissman Aug 12 '16 at 20:03

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